[tex] 4^{2} * ( \frac{1}{2})^{9}* ( \frac{1}{8} )^{7}*16^{5}= \\ \\ = \frac{4^{2}* 16^{5}}{ 2^{9}* 8^{7}}= \\ \\ = \frac{2^{2*2}* 2^{4*5}}{ 2^{9}* 2^{3*7}}= \\ \\ =\frac{2^{4}* 2^{20}}{ 2^{9}* 2^{21}}= \\ \\ =\frac{2^{4+20}}{ 2^{9+21}}= \\ \\ =\frac{2^{24}}{ 2^{30}}= \\ \\ =\frac{1}{ 2^{6}}= \\ \\ =\frac{1}{ 64}[/tex]
